Question

Find the value of m 180.40=5(0.05m+29.80+0.10(29.80))

Answer 1

Given:

`180.40=5\left\lbrack0.05m+29.80+0.10\left(29.80\right)]\right?`

To find: The value of m?

Step-by-step explanation:

We have given that

`180.40=5\left\lbrack0.05m+29.80+0.10(29.80)\right\rbrack`

First, we solve the brackets term

We get,

`\begin{gathered} 180.40=5\left\lbrack0.05m+29.80+\left(0.10*29.80\right)\right\rbrack \\ \\ 180.40=5\left\lbrack0.05m+29.80+2.98\right\rbrack \end{gathered}`

We can write as

`\begin{gathered} 18040*10^(-2)=5\left\lbrack5*10^(-2)m+2980*10^(-2)+298*10^(-2)\right? \\ \\ 18040*10^(-2)=5\left\lbrack5m+2980+298\right\rbrack*10^(-2) \\ \\ (18040*10^(-2))/(10^(-2))=5\left\lbrack5m+3278\right\rbrack \\ \\ (18040)/(5)=5m+3278 \\ \\ 3608=5m+3278 \\ \\ 5m=3608-3278 \\ \\ 5m=330 \\ \\ m=(330)/(5) \\ \\ m=66 \end{gathered}`

Hence, m = 66

Thus, the value of m = 66.